75+64=m2

Solution for 75+64=m2 equation:

75+64=m2

We move all terms to the left:

75+64-(m2)=0

We add all the numbers together, and all the variables

-1m^2+139=0

a = -1; b = 0; c = +139;
Δ = b2-4ac
Δ = 02-4·(-1)·139
Δ = 556
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{556}=\sqrt{4*139}=\sqrt{4}*\sqrt{139}=2\sqrt{139}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{139}}{2*-1}=\frac{0-2\sqrt{139}}{-2}
=-\frac{2\sqrt{139}}{-2}
=-\frac{\sqrt{139}}{-1}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{139}}{2*-1}=\frac{0+2\sqrt{139}}{-2}
=\frac{2\sqrt{139}}{-2}
=\frac{\sqrt{139}}{-1}
$